Least Common Multiple of 74, 5664

Q: How to Find the LCM of 74, 5664 ?

Least Common Multiple of 74, 5664 = 209568 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(74, 5664) = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 59 = 209568.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 74, 5664 i.e. 209568 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 5664 is 209568.

LCM(74, 5664) = 209568

LCM of 74, 5664

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 74, 5664 by common division method
Least Common Multiple of 74, 5664 with GCF Formula

Least Common Multiple of 74,5664

Least Common Multiple (LCM) of 74,5664 is 209568

2	74, 5664
	37, 2832

∴ So the LCM of the given numbers is 2 x 37 x 2832 = 209568

Least Common Multiple of 74,5664 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,5664) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(74,5664) x common factors =2 x 1 = 2

LCM(74,5664) = ( 74 × 5664 ) / 2

LCM(74,5664) = 419136 / 2

LCM(74,5664) = 209568

∴ Least Common Multiple of 74,5664 is 209568

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 74, 5664

1. What is the LCM of 74, 5664?

Answer: LCM of 74, 5664 is 209568.

2. What are the Factors of 209568?

Answer: Factors of 209568 are . There are integers that are factors of 209568

3. How to Find the LCM of 74, 5664 ?

Least Common Multiple of 74, 5664.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(74, 5664) = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 59 = 209568.